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Finding the Fourth Proportional to 790.16, 1,090.26 and 569.43

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Solution

The fourth proportional to 790.16, 1,090.26 and 569.43 is: 785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.16 : 1,090.26 = 569.43 : x
  2. Step 2: Convert to fraction form
    790.16/1,090.26 = 569.43/x
  3. Step 3: Cross multiply
    790.16x = 1,090.26 × 569.43
  4. Step 4: Simplify right side
    790.16x = 620,826.75
  5. Step 5: Solve for x
    x = 620,826.75/790.16
  6. Step 6: Final answer
    x = 785.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.